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Phantasy [73]
3 years ago
8

What is the system of solution to y-x=-13 and -4x+3y=-51

Mathematics
1 answer:
poizon [28]3 years ago
8 0
Equation 1 ==> y - x = -13
Equation 2 ==> -4x + 3y = -51
3(y - x) = 3(-13)
Equation 3 ==> 3y - 3x = -39

Equation 2 - 3
= (3y - 3y) + ( -4x - (-3x) ) = -51 - (-39)
-x = -12
x = 12

Substitude x into equation 1
y - 12 = -13
y = -1
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Let x represent the distance between Bill and fulcrum.

We have been given that Laura has a mass of 60 kg and is sitting 265 cm from the fulcrum of a seesaw. Bill has a mass of 50 kg.

To balance the seesaw, the product of Laura's weight and her distance from fulcrum of seesaw should be equal to the product of Bill's weight and his distance from fulcrum of seesaw as:

50\text{ kg}\cdot x=60\text{ kg}\cdot 265\text{ cm}

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Therefore, Billy should be 318 cm far from the fulcrum to balance the seesaw.

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